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Finding the Third Proportional to 5,946 and 8,496

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Solution

The third proportional to 5,946 and 8,496 is: 12,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 8,496 = 8,496 : x
  2. Step 2: Convert to fraction form
    5,946/8,496 = 8,496/x
  3. Step 3: Cross multiply
    5,946x = 8,496 × 8,496
  4. Step 4: Simplify right side
    5,946x = 72,182,016
  5. Step 5: Solve for x
    x = 72,182,016/5,946
  6. Step 6: Final answer
    x = 12,139.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.